Hankel Determinants of a Linear Combination of Three Successive Catalan Numbers |
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Authors: | Belgacem Bouras |
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Institution: | 1. Department of Mathematics, Faculty of Science of Gabes, District Riyadh–Zrig, Gabes, 6072, Tunisia
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Abstract: | We evaluate the determinants of Hankel matrices, whose elements are a linear combination of three successive shifted Catalan numbers. This is done by finding a Jacobi linear functional, such that their moments are, up to a multiplicative constant, the Catalan numbers. The values of such determinants are then expressed in terms of Jacobi polynomials. |
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